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Finding the Fourth Proportional to 1,187.52, 1,636.77 and 833.55

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Solution

The fourth proportional to 1,187.52, 1,636.77 and 833.55 is: 1,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.52 : 1,636.77 = 833.55 : x
  2. Step 2: Convert to fraction form
    1,187.52/1,636.77 = 833.55/x
  3. Step 3: Cross multiply
    1,187.52x = 1,636.77 × 833.55
  4. Step 4: Simplify right side
    1,187.52x = 1,364,329.63
  5. Step 5: Solve for x
    x = 1,364,329.63/1,187.52
  6. Step 6: Final answer
    x = 1,148.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.